[Official] Quant Thread for 2015!

Find remainder when 32^33^34 divided by 11?

please explain the solution as well

test series of ims/CL/TIME?  suggestions please

Twice the cube of a number is three times another number. What is the ratio of the first number to the second number?

1. 2:3

2. 3:2

3. 9:4

4. 4:9

5. can't be determined

No OA..

4-digit numbers are formed with the digits 2,3,5,6 & 8 . Out of these numbers, the number of numbers that are perfectly divisible by second least perfect square are ? 

If  P and q   are natural numbers so that   p/q = 1-1/2 +1/3-1/4+1/5....-1/1318 +1/1319   . The sum of the digits of the largest natural number which perfectly divides P is ? 

find the sum of all the 4 digit numbers that are formed with the digits 0,1,2,3,4 (repetition allowed)  

N is a natural number between 10 and 1000.  P denotes the product of its digits. S denotes the sum of its digits. If 6P + 4S = 4N, how many values can N take ? 

a)9    b)10    c)11    d)12      

|x|+|y|+|z| = 15, how many solutions are possible?

What would be last two digits of product of first 38 odd(natural) multiples of 5?

How many natural numbers are factors of at least one of 6^14, 10^12 and 15^20? (a) 835 (b) 834 (c) 794 (d) 795

If number N is randomly drawn from a set of all non-negative single-digit integers ,what is the probability that 5N^3/8 is an integer?

Every customer who visited  the Central Mall on Sunday,was given a lucky draw gift coupon with every purchase of Rs 1000 or more.

The Coupon had a unique six-digit code written on it & each code was such that:

1)The first digit was Non-Zero,

2)All the 6 digits were distinct,

3) The 1st & 6th digit added up to 9, so did the 2nd & 5th digits,& also 3rd & 4th digits.

What is the maximum number of coupons that they can distribute?

Circles of radius 5,5,8 touch externally..radius of circle which touches all of them internally??

Which Is best for sectional tests ?? Cl /time ??

A,B,C,D are four positive numbers such that A+2B+3C+4D=36,then find the maximum value of AB^2CD^2

HOw many ways 12 similar balls be distributed in 3 similar boxes so that each box has atmost 6 balls?

HOw many ways 24 similar balls be distributed in 10 similar boxes so that each box has atmost 6 balls?

find the number of points where

y=|4x^2+4x+1|

Y= -|6X+3|

these two curves meet

When 4444^4444  is written in decimal notation, the sum of its digits is A . Let B  be the sum of the digits of A . Find the sum of the digits of B . (A and B are written in decimal notation.)

When the numbers 5, 7 and 11 divide a multiple of 17, the remainders left are 4,6 , 10 respectively. Which multiple of 17 is the least number that satisfies the given condition ? 

384th       317th       385th      325th.